1053/1024: Difference between revisions
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'''1053/1024''', the '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[ratio]] of about 48.3 [[cent|cents]]. It is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. | '''1053/1024''', the '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[ratio]] of about 48.3 [[cent|cents]]. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. | ||
1053/1024 is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]]. | |||
1053/1024 can be considered a type of quarter tone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]]. | 1053/1024 can be considered a type of quarter tone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]]. | ||
== See Also == | == See Also == | ||
* [[Medium comma]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
Revision as of 08:03, 21 September 2020
| Interval information |
reduced harmonic
1053/1024, the tridecimal comma or Hunt minor submediant comma, is a ratio of about 48.3 cents. It is the interval between the Pythagorean major third of 81/64 and the tridecimal neutral third of 16/13.
1053/1024 is significant in Functional Just System as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to 64/63 and 33/32 for septimal and undecimal, respectively. However, in Helmholtz-Ellis notation, that role is taken by 27/26.
1053/1024 can be considered a type of quarter tone. It is 4096/4095 smaller than 36/35, and 352/351 smaller than 33/32.